Quote from Wikipedia 2016:
“Quantum electrodynamics.... Richard Feynman called it "the jewel of physics" for its extremely accurate predictions ... the presence of diverging integrals having no mathematical meaning. To overcome this difficulty, a technique called renormalization has been devised, producing finite results .... theory being meaningful after renormalization is that the number of diverging diagrams is finite... quantum electrodynamics displaying just three diverging diagrams.”
So, the renormalization has not removed all the infinities from QED??? How then the Richard says, what QED is extremely accurate??? The theoretically the QED is a monster, but practically – “jewel”. In fact, the infinities remained:
Wikipedia: “An argument by Freeman Dyson shows that the radius of convergence of the perturbation series in QED is zero... From a modern perspective, we say that QED is not well defined as a quantum field theory to arbitrarily high energy. The coupling constant runs to infinity at finite energy, signalling a Landau pole. The problem is essentially that QED appears to suffer from quantum triviality issues.”
So, the Richard Feynman was not objective. The renormalization removes the infinities from the theory. The infinities are not completely removed. Conclusion: there is no single Quantum Theory of Field, which would be renormalized, and even quantized. So, theoretically, we have no Quantum Theory of Field. Please go along the path of the David Bohm's theory of Quantum Physics. Thank you.
“Quantum electrodynamics.... Richard Feynman called it "the jewel of physics" for its extremely accurate predictions ... the presence of diverging integrals having no mathematical meaning. To overcome this difficulty, a technique called renormalization has been devised, producing finite results .... theory being meaningful after renormalization is that the number of diverging diagrams is finite... quantum electrodynamics displaying just three diverging diagrams.”
So, the renormalization has not removed all the infinities from QED??? How then the Richard says, what QED is extremely accurate??? The theoretically the QED is a monster, but practically – “jewel”. In fact, the infinities remained:
Wikipedia: “An argument by Freeman Dyson shows that the radius of convergence of the perturbation series in QED is zero... From a modern perspective, we say that QED is not well defined as a quantum field theory to arbitrarily high energy. The coupling constant runs to infinity at finite energy, signalling a Landau pole. The problem is essentially that QED appears to suffer from quantum triviality issues.”
So, the Richard Feynman was not objective. The renormalization removes the infinities from the theory. The infinities are not completely removed. Conclusion: there is no single Quantum Theory of Field, which would be renormalized, and even quantized. So, theoretically, we have no Quantum Theory of Field. Please go along the path of the David Bohm's theory of Quantum Physics. Thank you.